Assume you can earn $6\mathrm{.}5\backslash \%$ on your investments, you have $\backslash (\backslash$$ $2\backslash )$ million in your retirement account, and you need to withdraw $\backslash$$$9,000$ at the beginning of each month for your living expenses. If inflation is expected to be $4\backslash \%,$ how many years will your retirement account last for these withdrawals. Round your final answer to two decimal places.

$41\mathrm{.}95$

Correct Answer: $24\mathrm{.}46$

CORRECT ANSWER IS $24\mathrm{.}46,$ SHOW THE WORK TO EXPLAIN HOW THIS IS THE CORRECT ANSWER. DO NOT ALLOW ANY OTHER ANSWER TO BE CORRECT